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Simplifying 4(8 + -5k) + 2k = -40 (8 * 4 + -5k * 4) + 2k = -40 (32 + -20k) + 2k = -40 Combine like terms: -20k + 2k = -18k 32 + -18k = -40 Solving 32 + -18k = -40 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -18k = -40 + -32 Combine like terms: 32 + -32 = 0 0 + -18k = -40 + -32 -18k = -40 + -32 Combine like terms: -40 + -32 = -72 -18k = -72 Divide each side by '-18'. k = 4 Simplifying k = 4
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